The Manchester United striker took less than a minute to open the scoring away at Luton, scoring in his sixth straight league game.
In doing so he becomes the youngest-ever player to achieve the feat.
At 21 years and 14 days old, Hojlund passes Joe Willock, Erling Haaland, Romelu Lukaku and Thierry Henry as the youngest Premier League player to score in six-straight games.
Hojlund added a second on eight minutes as he cleverly chested a volley into the back of the net.
That means that since Christmas day, Hojlund has seven goals in six Premier League games, having previously not scored in the league.
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The £72million summer signing from Atalanta had been on fire in the Champions League previously, but his United teammates didn't help him out much.
The Dane got an impressive six goals in the group stages, but Erik ten Hag's team still finished bottom of their group and crashed out of Europe.
Now in the league, things have finally started to click up front, with Alejandro Garnacho also producing the goods alongside Hojlund.